Hexadecimal Conversion of 160

This explanation details the process of converting a decimal (base-10) number to its hexadecimal (base-16) equivalent. We will convert the decimal number 160.

Converting Decimal 160 to Hexadecimal

To convert a decimal number to hexadecimal, we repeatedly divide the number by 16 and keep track of the remainders. The hexadecimal representation is obtained by reading the remainders from bottom to top.

Step-by-Step Conversion:

• Step 1: Divide the decimal number (160) by 16.
  • Calculation: 160 \div 16 = 10 with a remainder of 0.
• Step 2: Take the quotient from the previous step (10) and divide it by 16.
  • Calculation: 10 \div 16 = 0 with a remainder of 10.
• Step 3: The process stops when the quotient becomes 0.

Determining the Hexadecimal Value:

Now, we need to represent the remainders in hexadecimal format. Recall that hexadecimal uses digits 0-9 and letters A-F, where A represents 10, B represents 11, and so on, up to F representing 15.

• The remainder from Step 1 is 0. In hexadecimal, this is represented as 0.
• The remainder from Step 2 is 10. In hexadecimal, 10 is represented as A.

Reading the remainders from bottom to top (or the last remainder first), we get A followed by 0.

Final Result:

Therefore, the hexadecimal equivalent of the decimal number 160 is A0.

Reading the remainders from bottom up: A0.